5981
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 5982
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5980
- Möbius Function
- -1
- Radical
- 5981
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 49
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 782
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes that are palindromic in base 2 (but written here in base 10).at n=23A016041
- Numbers k such that the continued fraction for sqrt(k) has period 47.at n=10A020386
- Expansion of 1/((1-2x)(1-4x)(1-7x)(1-12x)).at n=3A025975
- Primes of form x^2+89*y^2.at n=30A033257
- Primes p such that x^23 = 2 has no solution mod p.at n=36A040984
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 19.at n=16A050968
- Primes p from A031924 such that A052180(primepi(p)) = 31.at n=2A052237
- Least prime in A031924 (lesser of 6-twins) such that the distance to the next 6-twin is 2*n.at n=25A052352
- Fifth term of weak prime quintets: p(m-3)-p(m-4) < p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1).at n=14A054827
- Number of nodes at the n-th level of the Inverse-Totient-Tree (ITT) with the root at 1, and edges connecting number m to all numbers k such that phi(k) = m.at n=11A058811
- A B_2 sequence: a(n) is the smallest prime such that the pairwise sums of distinct elements are all distinct.at n=38A062294
- Integers k such that phi(prime(k)+1) = phi(prime(k)-1).at n=9A066902
- Number of two-rowed partitions of length 6.at n=21A070559
- Final terms of rows of A077321.at n=25A077323
- a(n) = prime(n*(n+1)/2+2).at n=39A078722
- Sophie Germain type primes where 7*Prime[n]=2*Prime[m]+1.at n=27A104165
- Smallest prime factor of A104357(n) = A104350(n) - 1.at n=12A104358
- Primes with digit sum = 23.at n=40A106762
- Prime numbers p such that p+6 and p^2+6^2 are both primes.at n=30A107442
- Primes that are factors of distinct golden semiprimes (A108540).at n=41A108544